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Finding the Fourth Proportional to 1,024.02, 1,534.95 and 590.40

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Solution

The fourth proportional to 1,024.02, 1,534.95 and 590.40 is: 884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.02 : 1,534.95 = 590.40 : x
  2. Step 2: Convert to fraction form
    1,024.02/1,534.95 = 590.40/x
  3. Step 3: Cross multiply
    1,024.02x = 1,534.95 × 590.40
  4. Step 4: Simplify right side
    1,024.02x = 906,234.48
  5. Step 5: Solve for x
    x = 906,234.48/1,024.02
  6. Step 6: Final answer
    x = 884.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.